A Liouville theorem for weightedp−Laplace operator on smooth metric measure spaces

DOI10.1002/mma.4031zbMath1365.53042OpenAlexW2472925931MaRDI QIDQ2977989

Lin-Feng Wang, Ze Yu Zhang, Liang Zhao, Yu Jie Zhou

Publication date: 21 April 2017

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4031

zbMATH Keywords

smooth metric measure spaceMoser iterationBakry-Émery curvatureweighted \(p\)-Laplace operator

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items

The Liouville theorem for \(p\)-harmonic functions and quasiminimizers with finite energy, LIOUVILLE PROPERTY FOR <i>f</i>-HARMONIC FUNCTIONS WITH POLYNOMIAL GROWTH, Gradient estimates for the 𝑝-Laplacian Lichnerowicz equation on smooth metric measure spaces

Cites Work

• A sharp gradient estimate for the weighted \(p\)-Laplacian
• Local gradient estimate for \(p\)-harmonic functions on Riemannian manifolds
• Uniformly elliptic operators on Riemannian manifolds
• Comparison geometry for the Bakry-Emery Ricci tensor
• The inverse mean curvature flow and \(p\)-harmonic functions
• The upper bound of the \({{\text L}_{\mu}^2}\) spectrum
• Regularity for a more general class of quasilinear equations
• The inverse mean curvature flow and the Riemannian Penrose inequality
• \(L^p\)-Liouville theorems on complete smooth metric measure spaces
• Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
• Local gradient estimates of $p$-harmonic functions, $1/H$-flow, and an entropy formula
• Differential equations on riemannian manifolds and their geometric applications
• Unnamed Item
• Unnamed Item